Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728ca |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
340623360 |
Modular degree for the optimal curve |
Δ |
-2.9989021526076E+29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48897858324,-4161899350346164] |
[a1,a2,a3,a4,a6] |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
2.4569248147676 |
L(r)(E,1)/r! |
Ω |
0.0050762908243537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45864cc1 30576p1 13104r1 |
Quadratic twists by: -4 -3 -7 |